In this paper, the authors study the boundedness properties of a class of multilinear strongly singular integral operator with generalized kernels on product of weighted Lebesgue spaces and product of variable exponent Lebesgue spaces, respectively. Moreover, the types $ L^{\infty}\times \dots \times L^{\infty}\rightarrow BMO $ and $ BMO\times \dots \times BMO\rightarrow BMO $ endpoint estimates are also obtained.
Citation: Shuhui Yang, Yan Lin. Multilinear strongly singular integral operators with generalized kernels and applications[J]. AIMS Mathematics, 2021, 6(12): 13533-13551. doi: 10.3934/math.2021786
In this paper, the authors study the boundedness properties of a class of multilinear strongly singular integral operator with generalized kernels on product of weighted Lebesgue spaces and product of variable exponent Lebesgue spaces, respectively. Moreover, the types $ L^{\infty}\times \dots \times L^{\infty}\rightarrow BMO $ and $ BMO\times \dots \times BMO\rightarrow BMO $ endpoint estimates are also obtained.
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Shuhui Yang, Yan Lin. Multilinear strongly singular integral operators with generalized kernels and applications[J]. AIMS Mathematics, 2021, 6(12): 13533-13551. doi: 10.3934/math.2021786
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